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231200 = 2552172
BaseRepresentation
bin111000011100100000
3102202010222
4320130200
524344300
64542212
71652024
oct703440
9382128
10231200
11148782
12b1968
1381308
1460384
1548785
hex38720

231200 has 54 divisors (see below), whose sum is σ = 599571. Its totient is φ = 87040.

The previous prime is 231197. The next prime is 231223. The reversal of 231200 is 2132.

Adding to 231200 its reverse (2132), we get a palindrome (233332).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 150544 + 80656 = 388^2 + 284^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13592 + ... + 13608.

2231200 is an apocalyptic number.

231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231200

231200 is an abundant number, since it is smaller than the sum of its proper divisors (368371).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231200 is a wasteful number, since it uses less digits than its factorization.

231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 231200 is about 480.8326112069. The cubic root of 231200 is about 61.3756272033.

The spelling of 231200 in words is "two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 289 340 400 425 544 578 680 800 850 1156 1360 1445 1700 2312 2720 2890 3400 4624 5780 6800 7225 9248 11560 13600 14450 23120 28900 46240 57800 115600 231200